evaluate the expression

6+21 divided by 7

Answer:

tgα = 9/8

secα = 10/8

cscα = 10/9

ctgα = 8/9

Step-by-step explanation:

PAra resolver esto, es necesario conocer como se determinan las funciones trigonométricas en general. Ya tenemos el valor del seno y coseno de un angulo dado (supongamos un angulo α)

Si senα = 9/10 y cosα = 8/10, para calcular la tangente se aplica la siguiente expresión:

tgα = senα / cosα  (1)

Reemplazando tenemos:

tgα = (9/10) / (8/10)        Aqui se simplifican los 10, y nos queda

Nos quedan 3 funciones, y son las inversas de estas 3 funciones anteriores, y se determinan de la siguiente forma:

secα = 1 / cosα   (2)

cscα = 1 / senα   (3)

ctgα = 1 / tgα = cscα / secα  (4)

Aplicando estas 3 expresiones tenemos:

secα = 1 / (8/10)           Se aplica inversión de numerador y denominador

cscα = 1 / (9/10)

ctgα = 1 / (9/8)

Espero te sirva

Answer:

25%

Step-by-step explanation:

[tex]\frac{3}{12}[/tex] x 100 = 25%

A carton contains a dozen eggs, of which 3 contain no yolk. If 3 eggs are chosen then the probability that they all have no yolk is 3/12

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

A carton contains a dozen eggs, of which 3 contain no yolk. If 3 eggs are chosen at random for a cake.

one dozen eggs = 12 eggs

The probability that they all have no yolk = 3/12

Learn more about probability here;

https://brainly.com/question/11234923

Answer:

3x = 3x + 4 = No solution

3x + 4 = 3x + 4 = No solution

3x + 4 = 4x + 3 = One solution

The length of missing leg is √40 = 6..32

Answer:

This one should match according to the pythagoras theorem

Answer:

B

Step-by-step explanation:

Answer:

B. The sign is buried 0.6 of a meter below the ground

Step-by-step explanation:

-1.8  = how far underground the capsule is

+1.2 = how much dirt was added on top of the capsule

-0.6 = where the sign was placed, on top of the 1.2 meters of dirt

Hope this helps! :)

Answer:

Exact form

h=27/5

Decimal

h=5.4

Mixed

h=5 2/5

Answer:

27/5

Step-by-step explanation:

Answer:

x - 7 = 65

(x is rhonda's score)

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

u need to add more wording but that is my best guess

Answer:

3,-2

Step-by-step explanation:

From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,

Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.

Slope :-

→ m = 3 - 0 / 0 - 1.5

→ m = 3/-1.5

→ m = -2

Answer:

The probability of choosing a yellow marble then choosing another one without replacement is 1/30.

Step-by-step explanation:

First, get the total amount of marbles.

5 + 7 + 4 + 6 + 3 = 25 total marbles.

Now find the probability of finding a yellow marble.

P = 5 yellow marbles / 25 total marbles.

Now find the probability of finding a yellow marble after pulling one without replacement.

P = 4 yellow marbles / 24 total marbles.

To find the probability of both events happening, multiply the probabilities together.

(5/25) * (4/24)

Multiply the numerators and denominators.

20/600

Simplify.

1/30.

Answer:

85 × 5³ = 10,625 cubic feet

Step-by-step explanation:

Step-by-step explanation:

=a³+3a²b+3ab²+b³

hope it is helpful to you

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex](a + b) {}^{3} \\ = (a + b) \times (a + b) {}^{2} \\ = (a + b)(a {}^{2}  + 2ab + b {}^{2} ) \\ = a(a {}^{2}  + 2ab + b {}^{2} ) + b(a {}^{2}  + 2ab + b {}^{2} ) \\ = a {}^{3}  + 2a {}^{2} b + ab {}^{2}  + ba {}^{2} + 2ab {}^{2}  + b {}^{3} \\ = a {}^{3}  + 3a {}^{2} b + 3ab {}^{2}  + b {}^{3} [/tex]

✐ (a + b)³ = a³ + 3a²b + 3ab² + b³

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

45/16

Step-by-step explanation:

1 1/4 x 2 1/4

5/4 x 9/4

45/16

Answer:

The coordinate of the midpoint of AB is (1.5, 3).

Step-by-step explanation:

The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).

Answer:

it's 823 problem solved

Answer:

100

Step-by-step explanation:

What you need to do is multiply all of the numbers together so the three sides equal 12 so you need to do 12x3 which equals to 36 and 8x8 is 64 and then add 64 and 36 which gives you 100

Solution :

The given figure consists of two shapes that are a triangle and a square . To find the total area of the figure we will first find the area of the triangle then that of the square and add them .

Let's work on this ,

In the given figure the base of the triangle is 12 inches and it's height is 8 inches .

Now lets find the area of the square ,

Total area of the figure

Answer:

ım not speak english because i'm turkish

The angle of the depression is equal to the angle of elevation for the same place.

The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.

Given information-

The distance between the ship and dock is 7 ft.

The one sailor is standing 10 ft above the dock level.

The another sailor is standing on the dock.

The angle of depression and elevation is shown in the image.

Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,

[tex]\tan \theta=\dfrac{10}{7}[/tex]

Find the value of angle as,

[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]

Hence the angle of depression is 55 degree.

As the angle of the depression is equal to the angle of depression for the same place.

Thus the angle of elevation is 55 degrees.

Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

Learn more about the angle of depression here;

https://brainly.com/question/10217662

Answer:

Question 1172264: How old am I if 500 reduced by 4 times my age is 256? How old am I if 500 reduced by 4 times my age is 256? A is our age. 500 - 4A = 256.

Step-by-step explanation:

thank me later

Answer:

A) 7.8

Step-by-step explanation:

The side lengths of the triangle are 5 units and 6 units.

Using the Pythagorean Theorem, a²+b²=c², we can find the hypotenuse, c, given side lengths a and b:

a²+b²=c²

5²+6²=c²

25+36=c²

61=c²

√61=c

7.81≈c

Therefore, the hypotenuse is about 7.81 units, making A the closest choice.

Answer:

C: 95.9%

Step-by-step explanation:

To find this, we shall be using the cumulative binomial probability calculator

As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5

So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails

So we have the parameters as follows;

P( x ≤ 50)

n = number of trials = 85

p = probability of success = 0.5

r = number of success = 50

Using the parameters in the cumulative binomial probability calculator, we have the value as ;

0.9589 = 95.9%

Answer:

answering so the guy above gets brainliest

Answer:

Step-by-step explanation:

We know that

We also know that

Since 5! = 1*2*3*4*5 is divisible by 15:

We need to find the remainder when 1! + 2! + 3! + 4! is divided by 15 as all the rest are divisible by 15.

The sum is:

The remainder is:

As we see the remainder is 3

Answer:

D

Step-by-step explanation:

Divide 5/2 and you'll get 2.5/1 or 2.5

Answer: piece of paper or a door

Step-by-step explanation:

Answer:

108$

Step-by-step explanation:

Answer:

1,678

Step-by-step explanation:

1030(1.05)^10 = 1677.76

Answer:

9. 105

10. 50

11. 55

Step-by-step explanation:

9. 180-75=m<EFB

10. 90-40=m<EGB

11. 75+50+m<FBG=180

Answer:6

Step-by-step explanation:

becuase they play more games

Answer:

origin

Step-by-step explanation:

because the arrow is pointing at zero so it is the origin